You Do Need power plug adapter while traveling from Norfolk Island to Western Sahara.

Here is Why You Need An Adapter

The outlet and plug type used in Western Sahara are C and E and in Norfolk Island is I. This is how they look like.

Norfolk Island

In Norfolk Island, outlets of type I are in use.

Type I

Western Sahara

In Western Sahara, outlets of type C and E are in use.

Type C

Type E